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Finding the Fourth Proportional to 6,843.27, 9,444.89 and 6,531.60

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Solution

The fourth proportional to 6,843.27, 9,444.89 and 6,531.60 is: 9,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.27 : 9,444.89 = 6,531.60 : x
  2. Step 2: Convert to fraction form
    6,843.27/9,444.89 = 6,531.60/x
  3. Step 3: Cross multiply
    6,843.27x = 9,444.89 × 6,531.60
  4. Step 4: Simplify right side
    6,843.27x = 61,690,243.52
  5. Step 5: Solve for x
    x = 61,690,243.52/6,843.27
  6. Step 6: Final answer
    x = 9,014.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.